--- /dev/null
+/**************************************************************************
+ * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
+ * *
+ * Author: The ALICE Off-line Project. *
+ * Contributors are mentioned in the code where appropriate. *
+ * *
+ * Permission to use, copy, modify and distribute this software and its *
+ * documentation strictly for non-commercial purposes is hereby granted *
+ * without fee, provided that the above copyright notice appears in all *
+ * copies and that both the copyright notice and this permission notice *
+ * appear in the supporting documentation. The authors make no claims *
+ * about the suitability of this software for any purpose. It is *
+ * provided "as is" without express or implied warranty. *
+ **************************************************************************/
+
+//////////////////////////////////////////////////////////////////////////////
+// //
+// AliTPCBoundaryVoltError class //
+// The class calculates the space point distortions due to residual voltage //
+// errors on the main boundaries of the TPC. For example, the inner vessel //
+// of the TPC is shifted by a certain amount, whereas the ROCs on the A side//
+// and the ROCs on the C side follow this mechanical shift (at the inner //
+// vessel) in z direction (see example below). This example is commonly //
+// named "conical deformation" of the TPC field cage. //
+// //
+// The class allows "effective Omega Tau" corrections. //
+// //
+// NOTE: This class is not capable of calculation z distortions due to //
+// drift velocity change in dependence of the electric field!!! //
+// //
+// date: 01/06/2010 //
+// Authors: Jim Thomas, Stefan Rossegger //
+// //
+// Example usage (e.g +1mm shift of "conical deformation") //
+// AliTPCBoundaryVoltError bve; //
+// Float_t boundA[8] = {-40,-40,-40,0,0,0,0,-40}; // voltages A-side //
+// Float_t boundC[6] = { 40, 40, 40,0,0,0}; // voltages C-side //
+// bve.SetBoundariesA(boundA); //
+// bve.SetBoundariesC(boundC); //
+// bve.SetOmegaTauT1T2(0.32,1.,1.); // values ideally from OCDB //
+// // initialization of the look up //
+// bve.InitBoundaryVoltErrorDistortion(); //
+// // plot dRPhi distortions ... //
+// bve.CreateHistoDRPhiinZR(1.,100,100)->Draw("surf2"); //
+//////////////////////////////////////////////////////////////////////////////
+
+#include "AliMagF.h"
+#include "TGeoGlobalMagField.h"
+#include "AliTPCcalibDB.h"
+#include "AliTPCParam.h"
+#include "AliLog.h"
+#include "TMatrixD.h"
+
+#include "TMath.h"
+#include "AliTPCROC.h"
+#include "AliTPCBoundaryVoltError.h"
+
+ClassImp(AliTPCBoundaryVoltError)
+
+AliTPCBoundaryVoltError::AliTPCBoundaryVoltError()
+ : AliTPCCorrection("BoundaryVoltError","Boundary Voltage Error"),
+ fC0(0.),fC1(0.),
+ fInitLookUp(kFALSE)
+{
+ //
+ // default constructor
+ //
+ for (Int_t i=0; i<8; i++){
+ fBoundariesA[i]= 0;
+ if (i<6) fBoundariesC[i]= 0;
+ }
+}
+
+AliTPCBoundaryVoltError::~AliTPCBoundaryVoltError() {
+ //
+ // default destructor
+ //
+}
+
+
+
+void AliTPCBoundaryVoltError::Init() {
+ //
+ // Initialization funtion
+ //
+
+ AliMagF* magF= (AliMagF*)TGeoGlobalMagField::Instance()->GetField();
+ if (!magF) AliError("Magneticd field - not initialized");
+ Double_t bzField = magF->SolenoidField()/10.; //field in T
+ AliTPCParam *param= AliTPCcalibDB::Instance()->GetParameters();
+ if (!param) AliError("Parameters - not initialized");
+ Double_t vdrift = param->GetDriftV()/1000000.; // [cm/us] // From dataBase: to be updated: per second (ideally)
+ Double_t ezField = 400; // [V/cm] // to be updated: never (hopefully)
+ Double_t wt = -10.0 * (bzField*10) * vdrift / ezField ;
+ // Correction Terms for effective omegaTau; obtained by a laser calibration run
+ SetOmegaTauT1T2(wt,fT1,fT2);
+
+ InitBoundaryVoltErrorDistortion();
+}
+
+void AliTPCBoundaryVoltError::Update(const TTimeStamp &/*timeStamp*/) {
+ //
+ // Update function
+ //
+ AliMagF* magF= (AliMagF*)TGeoGlobalMagField::Instance()->GetField();
+ if (!magF) AliError("Magneticd field - not initialized");
+ Double_t bzField = magF->SolenoidField()/10.; //field in T
+ AliTPCParam *param= AliTPCcalibDB::Instance()->GetParameters();
+ if (!param) AliError("Parameters - not initialized");
+ Double_t vdrift = param->GetDriftV()/1000000.; // [cm/us] // From dataBase: to be updated: per second (ideally)
+ Double_t ezField = 400; // [V/cm] // to be updated: never (hopefully)
+ Double_t wt = -10.0 * (bzField*10) * vdrift / ezField ;
+ // Correction Terms for effective omegaTau; obtained by a laser calibration run
+ SetOmegaTauT1T2(wt,fT1,fT2);
+
+
+}
+
+
+
+void AliTPCBoundaryVoltError::GetCorrection(const Float_t x[],const Short_t roc,Float_t dx[]) {
+ //
+ // Calculates the correction due e.g. residual voltage errors on the TPC boundaries
+ //
+
+ if (!fInitLookUp) AliError("Lookup table was not initialized! You should do InitBoundaryVoltErrorDistortion() ...");
+
+ Int_t order = 1 ; // FIXME: hardcoded? Linear interpolation = 1, Quadratic = 2
+ // note that the poisson solution was linearly mirroed on this grid!
+ Double_t intEr, intEphi ;
+ Double_t r, phi, z ;
+ Int_t sign;
+
+ r = TMath::Sqrt( x[0]*x[0] + x[1]*x[1] ) ;
+ phi = TMath::ATan2(x[1],x[0]) ;
+ if ( phi < 0 ) phi += TMath::TwoPi() ; // Table uses phi from 0 to 2*Pi
+ z = x[2] ; // Create temporary copy of x[2]
+
+ if ( (roc%36) < 18 ) {
+ sign = 1; // (TPC A side)
+ } else {
+ sign = -1; // (TPC C side)
+ }
+
+ if ( sign==1 && z < fgkZOffSet ) z = fgkZOffSet; // Protect against discontinuity at CE
+ if ( sign==-1 && z > -fgkZOffSet ) z = -fgkZOffSet; // Protect against discontinuity at CE
+
+
+ intEphi = 0.0; // Efield is symmetric in phi - 2D calculation
+
+ if ( (sign==1 && z<0) || (sign==-1 && z>0) ) // just a consistency check
+ AliError("ROC number does not correspond to z coordinate! Calculation of distortions is most likely wrong!");
+
+ // Get the E field integral
+ Interpolate2DEdistortion( order, r, z, fLookUpErOverEz, intEr );
+
+ // Calculate distorted position
+ if ( r > 0.0 ) {
+ phi = phi + ( fC0*intEphi - fC1*intEr ) / r;
+ r = r + ( fC0*intEr + fC1*intEphi );
+ }
+
+ // Calculate correction in cartesian coordinates
+ dx[0] = r * TMath::Cos(phi) - x[0];
+ dx[1] = r * TMath::Sin(phi) - x[1];
+ dx[2] = 0.; // z distortion not implemented (1st order distortions)
+
+}
+
+void AliTPCBoundaryVoltError::InitBoundaryVoltErrorDistortion() {
+ //
+ // Initialization of the Lookup table which contains the solutions of the
+ // Dirichlet boundary problem
+ //
+
+ const Float_t gridSizeR = (fgkOFCRadius-fgkIFCRadius) / (kRows-1) ;
+ const Float_t gridSizeZ = fgkTPCZ0 / (kColumns-1) ;
+
+ TMatrixD voltArrayA(kRows,kColumns), voltArrayC(kRows,kColumns); // boundary vectors
+ TMatrixD chargeDensity(kRows,kColumns); // dummy charge
+ TMatrixD arrayErOverEzA(kRows,kColumns), arrayErOverEzC(kRows,kColumns); // solution
+
+ Double_t rList[kRows], zedList[kColumns] ;
+
+ // Fill arrays with initial conditions. V on the boundary and ChargeDensity in the volume.
+ for ( Int_t j = 0 ; j < kColumns ; j++ ) {
+ Double_t zed = j*gridSizeZ ;
+ zedList[j] = zed ;
+ for ( Int_t i = 0 ; i < kRows ; i++ ) {
+ Double_t radius = fgkIFCRadius + i*gridSizeR ;
+ rList[i] = radius ;
+ voltArrayA(i,j) = 0; // Initialize voltArrayA to zero
+ voltArrayC(i,j) = 0; // Initialize voltArrayC to zero
+ chargeDensity(i,j) = 0; // Initialize ChargeDensity to zero - not used in this class
+ }
+ }
+
+
+ // check if boundary values are the same for the C side (for later, saving some calculation time)
+
+ Int_t symmetry = -1; // assume that A and C side are identical (but anti-symmetric!) // e.g conical deformation
+ Int_t sVec[8];
+
+ // check if boundaries are different (regardless the sign)
+ for (Int_t i=0; i<8; i++) {
+ if ((TMath::Abs(fBoundariesA[i]) - TMath::Abs(fBoundariesC[i])) > 1e-5) symmetry = 0;
+ sVec[i] = (Int_t) (TMath::Sign((Float_t)1.,fBoundariesA[i])*TMath::Sign((Float_t)1.,fBoundariesC[i])); // == -1 for anti-symmetry
+ }
+ if (symmetry==-1) { // still the same values?
+ // check the kind of symmetry , if even ...
+ if (sVec[0]==1 && sVec[1]==1 && sVec[2]==1 && sVec[3]==1 && sVec[4]==1 && sVec[5]==1 && sVec[6]==1 && sVec[7]==1 )
+ symmetry = 1;
+ else if (sVec[0]==-1 && sVec[1]==-1 && sVec[2]==-1 && sVec[3]==-1 && sVec[4]==-1 && sVec[5]==-1 && sVec[6]==-1 && sVec[7]==-1 )
+ symmetry = -1;
+ else
+ symmetry = 0; // some of the values differ in the sign -> neither symmetric nor antisymmetric
+ }
+
+
+
+ // Solve the electrosatic problem in 2D
+
+ // Fill the complete Boundary vectors
+ // Start at IFC at CE and work anti-clockwise through IFC, ROC, OFC, and CE (clockwise for C side)
+ for ( Int_t j = 0 ; j < kColumns ; j++ ) {
+ Double_t zed = j*gridSizeZ ;
+ for ( Int_t i = 0 ; i < kRows ; i++ ) {
+ Double_t radius = fgkIFCRadius + i*gridSizeR ;
+
+ // A side boundary vectors
+ if ( i == 0 ) voltArrayA(i,j) += zed *((fBoundariesA[1]-fBoundariesA[0])/((kColumns-1)*gridSizeZ))
+ + fBoundariesA[0] ; // IFC
+ if ( j == kColumns-1 ) voltArrayA(i,j) += radius*((fBoundariesA[3]-fBoundariesA[2])/((kRows-1)*gridSizeR+fgkIFCRadius))
+ + fBoundariesA[2] ; // ROC
+ if ( i == kRows-1 ) voltArrayA(i,j) += zed *((fBoundariesA[4]-fBoundariesA[5])/((kColumns-1)*gridSizeZ))
+ + fBoundariesA[5] ; // OFC
+ if ( j == 0 ) voltArrayA(i,j) += radius*((fBoundariesA[6]-fBoundariesA[7])/((kRows-1)*gridSizeR+fgkIFCRadius))
+ + fBoundariesA[7] ; // CE
+
+ if (symmetry==0) {
+ // C side boundary vectors
+ if ( i == 0 ) voltArrayC(i,j) += zed *((fBoundariesC[1]-fBoundariesC[0])/((kColumns-1)*gridSizeZ))
+ + fBoundariesC[0] ; // IFC
+ if ( j == kColumns-1 ) voltArrayC(i,j) += radius*((fBoundariesC[3]-fBoundariesC[2])/((kRows-1)*gridSizeR+fgkIFCRadius))
+ + fBoundariesC[2] ; // ROC
+ if ( i == kRows-1 ) voltArrayC(i,j) += zed *((fBoundariesC[4]-fBoundariesC[5])/((kColumns-1)*gridSizeZ))
+ + fBoundariesC[5] ; // OFC
+ if ( j == 0 ) voltArrayC(i,j) += radius*((fBoundariesC[6]-fBoundariesC[7])/((kRows-1)*gridSizeR+fgkIFCRadius))
+ + fBoundariesC[7] ; // CE
+
+ }
+ }
+ }
+
+ voltArrayA(0,0) *= 0.5 ; // Use average boundary condition at corner
+ voltArrayA(kRows-1,0) *= 0.5 ; // Use average boundary condition at corner
+ voltArrayA(0,kColumns-1) *= 0.5 ; // Use average boundary condition at corner
+ voltArrayA(kRows-1,kColumns-1)*= 0.5 ; // Use average boundary condition at corner
+
+ if (symmetry==0) {
+ voltArrayC(0,0) *= 0.5 ; // Use average boundary condition at corner
+ voltArrayC(kRows-1,0) *= 0.5 ; // Use average boundary condition at corner
+ voltArrayC(0,kColumns-1) *= 0.5 ; // Use average boundary condition at corner
+ voltArrayC(kRows-1,kColumns-1)*= 0.5 ; // Use average boundary condition at corner
+ }
+
+
+ // always solve the problem on the A side
+ PoissonRelaxation2D( voltArrayA, chargeDensity, arrayErOverEzA, kRows, kColumns, kIterations ) ;
+
+ if (symmetry!=0) { // A and C side are the same ("anti-symmetric" or "symmetric")
+ for ( Int_t j = 0 ; j < kColumns ; j++ ) {
+ for ( Int_t i = 0 ; i < kRows ; i++ ) {
+ arrayErOverEzC(i,j) = symmetry*arrayErOverEzA(i,j);
+ }
+ }
+ } else if (symmetry==0) { // A and C side are different - Solve the problem on the C side too
+ PoissonRelaxation2D( voltArrayC, chargeDensity, arrayErOverEzC, kRows, kColumns, kIterations ) ;
+ }
+
+ //Interpolate results onto standard grid for Electric Fields
+ Int_t ilow=0, jlow=0 ;
+ Double_t z,r;
+ Float_t saveEr[2] ;
+ for ( Int_t i = 0 ; i < kNZ ; ++i ) {
+ z = TMath::Abs( fgkZList[i] ) ;
+ for ( Int_t j = 0 ; j < kNR ; ++j ) {
+ // Linear interpolation !!
+ r = fgkRList[j] ;
+ Search( kRows, rList, r, ilow ) ; // Note switch - R in rows and Z in columns
+ Search( kColumns, zedList, z, jlow ) ;
+ if ( ilow < 0 ) ilow = 0 ; // check if out of range
+ if ( jlow < 0 ) jlow = 0 ;
+ if ( ilow + 1 >= kRows - 1 ) ilow = kRows - 2 ;
+ if ( jlow + 1 >= kColumns - 1 ) jlow = kColumns - 2 ;
+
+ if (fgkZList[i]>0) { // A side solution
+ saveEr[0] = arrayErOverEzA(ilow,jlow) +
+ (arrayErOverEzA(ilow,jlow+1)-arrayErOverEzA(ilow,jlow))*(z-zedList[jlow])/gridSizeZ ;
+ saveEr[1] = arrayErOverEzA(ilow+1,jlow) +
+ (arrayErOverEzA(ilow+1,jlow+1)-arrayErOverEzA(ilow+1,jlow))*(z-zedList[jlow])/gridSizeZ ;
+ } else if (fgkZList[i]<0) { // C side solution
+ saveEr[0] = arrayErOverEzC(ilow,jlow) +
+ (arrayErOverEzC(ilow,jlow+1)-arrayErOverEzC(ilow,jlow))*(z-zedList[jlow])/gridSizeZ ;
+ saveEr[1] = arrayErOverEzC(ilow+1,jlow) +
+ (arrayErOverEzC(ilow+1,jlow+1)-arrayErOverEzC(ilow+1,jlow))*(z-zedList[jlow])/gridSizeZ ;
+ } else {
+ AliWarning("Field calculation at z=0 (CE) is not allowed!");
+ saveEr[0]=0; saveEr[1]=0;
+ }
+ fLookUpErOverEz[i][j] = saveEr[0] + (saveEr[1]-saveEr[0])*(r-rList[ilow])/gridSizeR ;
+ }
+ }
+
+ /* delete [] saveEr;
+ delete [] sVec;
+ delete [] rList;
+ delete [] zedList;
+ */
+
+ fInitLookUp = kTRUE;
+
+}
+
+void AliTPCBoundaryVoltError::Print(const Option_t* option) const {
+ //
+ // Print function to check the settings of the boundary vectors
+ // option=="a" prints the C0 and C1 coefficents for calibration purposes
+ //
+
+ TString opt = option; opt.ToLower();
+ printf("%s\n",GetTitle());
+ printf(" - Voltage settings (on the TPC boundaries) - linearly interpolated\n");
+ printf(" : A-side (anti-clockwise)\n");
+ printf(" (0,1):\t IFC (CE) : %3.1f V \t IFC (ROC): %3.1f V \n",fBoundariesA[0],fBoundariesA[1]);
+ printf(" (2,3):\t ROC (IFC): %3.1f V \t ROC (OFC): %3.1f V \n",fBoundariesA[2],fBoundariesA[3]);
+ printf(" (4,5):\t OFC (ROC): %3.1f V \t OFC (CE) : %3.1f V \n",fBoundariesA[4],fBoundariesA[5]);
+ printf(" (6,7):\t CE (OFC): %3.1f V \t CE (IFC): %3.1f V \n",fBoundariesA[6],fBoundariesA[7]);
+ printf(" : C-side (clockwise)\n");
+ printf(" (0,1):\t IFC (CE) : %3.1f V \t IFC (ROC): %3.1f V \n",fBoundariesC[0],fBoundariesC[1]);
+ printf(" (2,3):\t ROC (IFC): %3.1f V \t ROC (OFC): %3.1f V \n",fBoundariesC[2],fBoundariesC[3]);
+ printf(" (4,5):\t OFC (ROC): %3.1f V \t OFC (CE) : %3.1f V \n",fBoundariesC[4],fBoundariesC[5]);
+ printf(" (6,7):\t CE (OFC): %3.1f V \t CE (IFC): %3.1f V \n",fBoundariesC[6],fBoundariesC[7]);
+
+ // Check wether the settings of the Central Electrode agree (on the A and C side)
+ // Note: they have to be antisymmetric!
+ if (( TMath::Abs(fBoundariesA[6]+fBoundariesC[6])>1e-5) || ( TMath::Abs(fBoundariesA[7]+fBoundariesC[7])>1e-5 ) ){
+ AliWarning("Boundary parameters for the Central Electrode (CE) are not anti-symmetric! HOW DID YOU MANAGE THAT?");
+ AliWarning("Congratulations, you just splitted the Central Electrode of the TPC!");
+ AliWarning("Non-physical settings of the boundary parameter at the Central Electrode");
+ }
+
+ if (opt.Contains("a")) { // Print all details
+ printf(" - T1: %1.4f, T2: %1.4f \n",fT1,fT2);
+ printf(" - C1: %1.4f, C0: %1.4f \n",fC1,fC0);
+ }
+
+ if (!fInitLookUp) AliError("Lookup table was not initialized! You should do InitBoundaryVoltErrorDistortion() ...");
+
+}
+
+
+void AliTPCBoundaryVoltError::SetBoundariesA(Float_t boundariesA[8]){
+ //
+ // set voltage errors on the TPC boundaries - A side
+ //
+ // Start at IFC at the Central electrode and work anti-clockwise (clockwise for C side) through
+ // IFC, ROC, OFC, and CE. The boundary conditions are currently defined to be a linear
+ // interpolation between pairs of numbers in the Boundary (e.g. fBoundariesA) vector.
+ // The first pair of numbers represent the beginning and end of the Inner Field cage, etc.
+ // The unit of the error potential vector is [Volt], whereas 1mm shift of the IFC would
+ // correspond to ~ 40 V
+ //
+ // Note: The setting for the CE will be passed to the C side!
+
+ for (Int_t i=0; i<8; i++) {
+ fBoundariesA[i]= boundariesA[i];
+ if (i>5) fBoundariesC[i]= -boundariesA[i]; // setting for the CE is passed to C side
+ }
+
+}
+void AliTPCBoundaryVoltError::SetBoundariesC(Float_t boundariesC[6]){
+ //
+ // set voltage errors on the TPC boundaries - A side
+ //
+ // Start at IFC at the Central electrode and work clockwise (for C side) through
+ // IFC, ROC and OFC. The boundary conditions are currently defined to be a linear
+ // interpolation between pairs of numbers in the Boundary (e.g. fBoundariesC) vector.
+ // The first pair of numbers represent the beginning and end of the Inner Field cage, etc.
+ // The unit of the error potential vector is [Volt], whereas 1mm shift of the IFC would
+ // correspond to ~ 40 V
+ //
+ // Note: The setting for the CE will be taken from the A side (pos 6 and 7)!
+
+ for (Int_t i=0; i<6; i++) {
+ fBoundariesC[i]= boundariesC[i];
+ }
+
+}
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